seniorGame Theory
What is correlated equilibrium in Game Theory?
Updated May 16, 2026
Short answer
A correlated equilibrium is a solution where players coordinate strategies using shared signals from a mediator.
Deep explanation
Unlike Nash equilibrium where players act independently, correlated equilibrium allows a correlation device (like a public signal) to recommend strategies. If no player can benefit by deviating after receiving the signal, the system is in equilibrium. It often yields higher social welfare than Nash equilibria.
Real-world example
Used in traffic systems where traffic lights coordinate driver behavior.
Common mistakes
- Assuming players are colluding
- correlation does not require communication or collusion.
Follow-up questions
- How is correlated equilibrium different from Nash equilibrium?
- Does it always improve social welfare?